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Benders, J. F.

Partitioning procedures for solving mixed-variables programming problems. (English) Zbl 0109.38302

Numer. Math. 4, 238-252 (1962).
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applications of probability theory and statistics
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\textit{J. F. Benders}, Numer. Math. 4, 238--252 (1962; Zbl 0109.38302)
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References:

[1] Beale, E. M. L.: A Method of Solving Linear Programming Problems When Some But Not All of the Variables Must Take Integral Values. Statistical Techniques Research Group, Technical Report No.19, Princeton, N.J., July 1958.
[2] Benders, J. F.: Partitioning in Mathematical Programming. Thesis, Utrecht, July 4, 1960.
[3] Benders, J. F. A. R. Catchpole andC. Kuiken: Discrete Variables Optimization Problems. The Rand Symposium on Mathematical Programming, 16-20 March, 1959.
[4] Dantzig, G. B.: On the Significance of Solving Linear Programming Problems with Some Integer Variables. Econometrica28, 30-44 (1960). · Zbl 0089.16101
[5] ?, andP. Wolfe: Decomposition Principle for Linear Programs. Operations Research8, 101-111 (1960). · Zbl 0093.32806
[6] Gass, S.: Linear Programming, Methods and Applications, New York: McGraw-Hill 1958. · Zbl 0081.36702
[7] Griffith, R. E., andR. A. Stewart: A Non-Linear Programming Technique for the Optimization of Continuous Processing Systems. Management. Science7, 379-392 (1961). · Zbl 0995.90610
[8] Goldman, A. J.: Resolution and Separation Theorems for Polyhedral Convex Sets. Linear Inequalities and Related Systems. Annals of Mathematics Studies38, 41-52, Princeton 1956. · Zbl 0072.37505
[9] Gomory, R. E.: An Algorithm for the Mixed Integer Problem. The Rand Corporation, P-1885, June 23, 1960.
[10] Kelly, J. E.: The Cutting Plane Method for Solving Convex Programs. J. Soc. Ind. and Appl. Math.8, 703-712 (1960). · Zbl 0098.12104
[11] Land, A. H., andA. G. Doig: An Automatic Method for Solving Discrete Programming Problems. Econometrica28, 497-520 (1960). · Zbl 0101.37004
[12] Rosen, J. B.: The Gradient Projection Method for Non-Linear Programming, Part I-Linear Constraints. J. Soc. Ind. and Appl. Math.8, 181-217 (1960). · Zbl 0099.36405
[13] Tucker, A. W.: Dual Systems of Homogeneous Linear Relations. Linear Inequalities and Related Systems. Annals of Mathematics Studies38, 3-18, Princeton 1956. · Zbl 0072.37503
[14] Zoutendijk, G.: Methods of Feasible Directions. A Study in Linear and Non-Linear Programming. Amsterdam: Elsevier Publ. Co. 1960. · Zbl 0097.35408
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